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Light rays having extreme points with the same spatial coordinates
Institution:Dipartimento di Matematica, Terza Università di Roma, Largo San Leonardo Murialdo, 1, 00146 Roma, Italy;Dipartimento Interuniversitario di Matematica, Università degli Studi di Bari, Via E. Orabona, 4, 70125 Bari, Italy;Dipartimento di Energetica, Università de L''Aquila, 67010 L''Aquila, Italy
Abstract:In this paper we deal with lightlike geodesics in Lorentzian manifolds which are closed with respect to the spatial coordinates. We consider the case where the initial point is fixed or moves on a level of a given time function. The case where the initial point is free is also considered, under a periodicity condition on the metric.
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